Hypothesis: HR 122:
\(C(WO,<\aleph_{0})\): Every well ordered set of non-empty finite sets has a choice function.
Conclusion: HR 294:
Every linearly ordered \(W\)-set is well orderable.
List of models where hypothesis is true and the conclusion is false:
| Name | Statement |
|---|---|
| \(\cal N41\) Another variation of \(\cal N3\) | \(A=\bigcup\{B_n; n\in\omega\}\)is a disjoint union, where each \(B_n\) is denumerable and ordered like therationals by \(\le_n\) |
Code: 3
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